Measure, Integration & Real Analysis
This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course,...
| Autor principal: | |
|---|---|
| Formato: | Electrónico |
| Idioma: | Inglés |
| Publicado: |
Cham
Springer Nature
2020
Cham : 2020. |
| Edición: | 1st ed. 2020. |
| Colección: | Graduate Texts in Mathematics,
282 |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009430467406719 |
Tabla de Contenidos:
- About the Author
- Preface for Students
- Preface for Instructors
- Acknowledgments
- 1. Riemann Integration
- 2. Measures
- 3. Integration
- 4. Differentiation
- 5. Product Measures
- 6. Banach Spaces
- 7. L^p Spaces
- 8. Hilbert Spaces
- 9. Real and Complex Measures
- 10. Linear Maps on Hilbert Spaces
- 11. Fourier Analysis
- 12. Probability Measures
- Photo Credits
- Bibliography
- Notation Index
- Index
- Colophon: Notes on Typesetting.
